Last updated on June 3rd, 2025
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used in comparing the sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 62.
A cube number is a value obtained by raising a number to the power of 3, or by multiplying the number by itself three times. When you cube a positive number, the result is always positive. When you cube a negative number, the result is always negative. This is because a negative number multiplied by itself three times results in a negative number. The cube of 62 can be written as 62³, which is the exponential form. Or it can also be written in arithmetic form as, 62 × 62 × 62.
In order to check whether a number is a cube number or not, we can use the following three methods, such as the multiplication method, a factor formula (a³), or by using a calculator. These three methods will help kids to cube the numbers faster and easier without feeling confused or stuck while evaluating the answers.
The multiplication method is a process in mathematics used to find the product of two numbers or quantities by combining them through repeated addition. It is a fundamental operation that forms the basis for more complex mathematical concepts.
Step 1: Write down the cube of the given number.
62³ = 62 × 62 × 62
Step 2: You get 238,328 as the answer.
Hence, the cube of 62 is 238,328.
The formula (a + b)³ is a binomial formula for finding the cube of a number.
The formula is expanded as a³ + 3a²b + 3ab² + b³.
Step 1: Split the number 62 into two parts, as 60 and 2. Let a = 60 and b = 2, so a + b = 62
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 60³ , 3a²b = 3 × 60² × 2 , 3ab² = 3 × 60 × 2² , b³ = 2³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(60 + 2)³ = 60³ + 3 × 60² × 2 + 3 × 60 × 2² + 2³
62³ = 216,000 + 21,600 + 720 + 8
62³ = 238,328
Step 5: Hence, the cube of 62 is 238,328.
To find the cube of 62 using a calculator, input the number 62 and use the cube function (if available) or multiply 62 × 62 × 62. This operation calculates the value of 62³, resulting in 238,328. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 6 followed by 2
Step 3: If the calculator has a cube function, press it to calculate 62³.
Step 4: If there is no cube function on the calculator, simply multiply 62 three times manually.
Step 5: The calculator will display 238,328.
The cube of any even number is always even, while the cube of any odd number is always odd. The product of two or more perfect cube numbers is always a perfect cube. A perfect cube can always be expressed as the product of three identical groups of equal prime factors.
There are some typical errors that kids might make during the process of cubing a number. Let us take a look at five of the major mistakes that kids might make:
What is the cube and cube root of 62?
The cube of 62 is 238,328 and the cube root of 62 is approximately 3.943.
First, let’s find the cube of 62.
We know that the cube of a number, such that x³ = y
Where x is the given number, and y is the cubed value of that number
So, we get 62³ = 238,328
Next, we must find the cube root of 62
We know that the cube root of a number ‘x’, such that ³√x = y
Where ‘x’ is the given number, and y is the cube root value of the number
So, we get ³√62 ≈ 3.943
Hence, the cube of 62 is 238,328 and the cube root of 62 is approximately 3.943.
If the side length of a cube is 62 cm, what is the volume?
The volume is 238,328 cm³.
Use the volume formula for a cube V = Side³.
Substitute 62 for the side length: V = 62³ = 238,328 cm³.
How much larger is 62³ than 60³?
62³ – 60³ = 22,328.
First, find the cube of 62, which is 238,328
Next, find the cube of 60, which is 216,000
Now, find the difference between them using the subtraction method.
238,328 – 216,000 = 22,328
Therefore, 62³ is 22,328 larger than 60³.
If a cube with a side length of 62 cm is compared to a cube with a side length of 10 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 62 cm is 238,328 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 62 means multiplying 62 by itself three times: 62 × 62 = 3,844, and then 3,844 × 62 = 238,328.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 238,328 cm³.
Estimate the cube 61 using the cube 62.
The cube of 61 is approximately 227,812.
First, identify the cube of 62, The cube of 62 is 62³ = 238,328.
Since 61 is slightly less than 62, the cube of 61 will be slightly less than the cube of 62.
The cube of 61 is approximately 227,812 because it is close to 62.
So, we can approximate the value as 227,812.
Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.
: He loves to play the quiz with kids through algebra to make kids love it.